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Finding the Fourth Proportional to 3,394.62, 5,092 and 1,086.12

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Solution

The fourth proportional to 3,394.62, 5,092 and 1,086.12 is: 1,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.62 : 5,092 = 1,086.12 : x
  2. Step 2: Convert to fraction form
    3,394.62/5,092 = 1,086.12/x
  3. Step 3: Cross multiply
    3,394.62x = 5,092 × 1,086.12
  4. Step 4: Simplify right side
    3,394.62x = 5,530,523.04
  5. Step 5: Solve for x
    x = 5,530,523.04/3,394.62
  6. Step 6: Final answer
    x = 1,629.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.